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Rates of change and differential equations — Question 17

QCAA 2023, Paper 1 · 7 marks

Q17 · 2023 · Technology-freeComplex familiar7 marks

QUESTION 17 (7 marks)

An object of mass 2 kg is moving with a constant velocity (m s−1^{-1}) of v=3i^+k^\mathbf v=3\hat{\mathbf i}+\hat{\mathbf k}. At an instant, two forces (N), F1=5tj^−3k^\mathbf F_1=5t\hat{\mathbf j}-3\hat{\mathbf k} and F2=−tj^+k^\mathbf F_2=-t\hat{\mathbf j}+\hat{\mathbf k}, act simultaneously on the object for tt seconds, where 0≤t≤20\le t\le2. Determine the magnitude of the momentum of the object when t=1t=1.
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